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Simplifying 2(t + -2) + -1(t + 4) = 8 Reorder the terms: 2(-2 + t) + -1(t + 4) = 8 (-2 * 2 + t * 2) + -1(t + 4) = 8 (-4 + 2t) + -1(t + 4) = 8 Reorder the terms: -4 + 2t + -1(4 + t) = 8 -4 + 2t + (4 * -1 + t * -1) = 8 -4 + 2t + (-4 + -1t) = 8 Reorder the terms: -4 + -4 + 2t + -1t = 8 Combine like terms: -4 + -4 = -8 -8 + 2t + -1t = 8 Combine like terms: 2t + -1t = 1t -8 + 1t = 8 Solving -8 + 1t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1t = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 1t = 8 + 8 1t = 8 + 8 Combine like terms: 8 + 8 = 16 1t = 16 Divide each side by '1'. t = 16 Simplifying t = 16
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